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Finding the Fourth Proportional to 378,333.82, 567,512.61 and 141,631.30

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Solution

The fourth proportional to 378,333.82, 567,512.61 and 141,631.30 is: 212,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,333.82 : 567,512.61 = 141,631.30 : x
  2. Step 2: Convert to fraction form
    378,333.82/567,512.61 = 141,631.30/x
  3. Step 3: Cross multiply
    378,333.82x = 567,512.61 × 141,631.30
  4. Step 4: Simplify right side
    378,333.82x = 80,377,548,720.69
  5. Step 5: Solve for x
    x = 80,377,548,720.69/378,333.82
  6. Step 6: Final answer
    x = 212,451.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.